Which polynomial identity will prove that 117 = 125 - 8?
subtraction duh......
Difference of Cubes Difference of Squares Square of Binomial Sum of Cubes
difference of cubes?
can i ask a different question ?
Given a polynomial f(x), if (x + 2) is a factor, what else must be true?
\(\normalsize\color{black}{117 = 125 - 8}\) \(\normalsize\color{black}{117 = 5^3 - 2^3}\) \(\normalsize\color{black}{117 = (5-2)(5^2+(3)(5)+2^2)}\) \(\normalsize\color{black}{117 = (5-2)(25+15+4)}\) \(\normalsize\color{black}{117 = (3)(44)}\) \(\normalsize\color{black}{117 = 132}\) LOL, where is the mistake ?
your options for the next question?
what in the heck?
IT is certainly true that there is another factor and it involves a variable
how did you do it sooo fast?
f(0) = 2 f(0) = -2 f(2) = 0 f(-2) = 0
f(x) = (x+2) × (other factor) f(-2) = (-2+2) × (other factor) f(-2) = 0 × (other factor) f(-2) = 0 what do you think, now ?
I'm not
Shouldn't it make sense, `I'mn't ` ?
@SolomonZelman and @am!rah thanks
yw !
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